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Finding the Fourth Proportional to 4,533.36, 6,780.18 and 4,201.26

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Solution

The fourth proportional to 4,533.36, 6,780.18 and 4,201.26 is: 6,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.36 : 6,780.18 = 4,201.26 : x
  2. Step 2: Convert to fraction form
    4,533.36/6,780.18 = 4,201.26/x
  3. Step 3: Cross multiply
    4,533.36x = 6,780.18 × 4,201.26
  4. Step 4: Simplify right side
    4,533.36x = 28,485,299.03
  5. Step 5: Solve for x
    x = 28,485,299.03/4,533.36
  6. Step 6: Final answer
    x = 6,283.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.